Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's A ... Applications, 11th Edition, Single-Term
11th Edition
ISBN: 9781337604994
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter 9, Problem 3RE
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1. A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at atime, until the defective ones are identified. Denote by X the number of tests made until the first defectis identified and by Y the number of additional tests until the second defect is identified.(a) Find g(x|y) and draw a figure like Figure 4.3-1(b), depicting the conditional pmfs fory = 1,2,3,and 4.(b) Find h(y|x) and draw a figure like Figure 4.3-1(c), depicting the conditional pmfs forx = 1,2,3,and 4.(c) Find E [X|Y = 2] and Var (X|Y = 2)
Chapter 9 Solutions
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's A ... Applications, 11th Edition, Single-Term
Ch. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - Prob. 4ECh. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - Prob. 6ECh. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - In Problems 110 use the improved Eulers method to...
Ch. 9.1 - Consider the initial-value problem y′ = (x + y –...Ch. 9.1 - Consider the initial-value problem y = 2y, y(0) =...Ch. 9.1 - Repeat Problem 13 using the improved Eulers...Ch. 9.1 - Repeat Problem 13 using the initial-value problem...Ch. 9.1 - Repeat Problem 15 using the improved Euler’s...Ch. 9.1 - Consider the initial-value problem y = 2x 3y + 1,...Ch. 9.1 - Repeat Problem 17 using the improved Euler’s...Ch. 9.1 - Repeat Problem 17 for the initial-value problem y′...Ch. 9.1 - Repeat Problem 19 using the improved Euler’s...Ch. 9.1 - Answer the question Why not? that follows the...Ch. 9.2 - Use the RK4 method with h = 0.1 to approximate...Ch. 9.2 - Assume that (4). Use the resulting second-order...Ch. 9.2 - In Problems 3–12 use the RK4 method with h = 0.1...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 3–12 use the RK4 method with h = 0.1...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - If air resistance is proportional to the square of...Ch. 9.2 - Consider the initial-value problem y = 2y, y(0) =...Ch. 9.2 - Repeat Problem 16 using the initial-value problem...Ch. 9.2 - Consider the initial-value problem y′ = 2x – 3y +...Ch. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - In Problems 58 use the Adams-Bashforth-Moulton...Ch. 9.4 - Use Eulers method to approximate y(0.2), where...Ch. 9.4 - Use Euler’s method to approximate y(1.2), where...Ch. 9.4 - Prob. 3ECh. 9.4 - In Problems 3 and 4 repeat the indicated problem...Ch. 9.4 - Prob. 5ECh. 9.5 - In Problems 110 use the finite difference method...Ch. 9.5 - Prob. 2ECh. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - In Problems 1 – 10 use the finite difference...Ch. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - The electrostatic potential u between two...Ch. 9.5 - Prob. 13ECh. 9 - In Problems 14 construct a table comparing the...Ch. 9 - In Problems 14 construct a table comparing the...Ch. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RE
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- 9(a). Suppose that in the "water and plant growth height" example we have four plants in the experiment and after the growing season is over we record the following data: Amount of water (x): 1 2 3 4 Growth height (y): 6.4 6.6 7.6 9.4 You are given that with these data, x= 2.5, j=7.5, sxx = 5, Sxy value of the Type I error is 0.05, test the null hypothesis B = 0 against the alternative hypothesis B>0. = 5 and syy = 5.64. If the chosen 9(b). Suppose now that the data had been: Amount of water (x): 1 3 Growth height (y): 6.7 6.3 7.3 9.7 5 and You are given that with these data, x= 2.5, y=7.5, Sxx = 5, Sxy value of the Type I error is 0.05, test the null hypothesis B = 0 against the alternative hypothesis ß > 0. Syy 6.96. If the chosen 9(c). If you reach a different conclusion concerning accepting or rejecting the null hypothesis in parts 9(a) and 9(b) of this question, what is the main reason for this difference?arrow_forward1.4 Which of the following equations are linear? (iii) x = -7y + 3z (i) x + 5xy – 2z = 1 1 (v) VTx + v2y + (ii) x + 3y + z = 2 (iv) e" – z = 4 z = 71/3 (a) (i), (iii) and (v) (b) (iii) and (iv) (c) (ii), (iii) and (v) (d) (ii) and (iii) (e) None of the above.arrow_forward2.6-2. Given the difference equation - 2) = 3(k+ 1) + x(k)= y(k + 2) where y(0) = y(1) = 0, e(0) = 0, and e(k) = 1. k=1,2,... (a) Solve for y(k) as a function of k, and give the numerical values of y(k), (b) Solve the difference equation directly for y(k), 0 k 4. to verify (c) Repeat parts (a) and (b) for e(k)= 0 for all k, and y(0) = 1, y(1) = -2. the results 0 sks 4. of part (a). y (k)arrow_forward
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